What is the Greatest Common Factor of 41205 and 41214?

Greatest common factor (GCF) of 41205 and 41214 is 3.

GCF(41205,41214) = 3

We will now calculate the prime factors of 41205 and 41214, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41205 and 41214.

How to find the GCF of 41205 and 41214?

We will first find the prime factorization of 41205 and 41214. After we will calculate the factors of 41205 and 41214 and find the biggest common factor number .

Step-1: Prime Factorization of 41205

Prime factors of 41205 are 3, 5, 41, 67. Prime factorization of 41205 in exponential form is:

41205 = 3¹ × 5¹ × 41¹ × 67¹

Step-2: Prime Factorization of 41214

Prime factors of 41214 are 2, 3, 6869. Prime factorization of 41214 in exponential form is:

41214 = 2¹ × 3¹ × 6869¹

Step-3: Factors of 41205

List of positive integer factors of 41205 that divides 41205 without a remainder.

1, 3, 5, 15, 41, 67, 123, 201, 205, 335, 615, 1005, 2747, 8241, 13735

Step-4: Factors of 41214

List of positive integer factors of 41214 that divides 41205 without a remainder.

1, 2, 3, 6, 6869, 13738, 20607

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41205 and 41214. The biggest common factor number is the GCF number.
So the greatest common factor 41205 and 41214 is 3.

Also check out the Least Common Multiple of 41205 and 41214